| Title: | Isomorphism checking of I-graphs |
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| Authors: | ID Horvat, Boris (Author)
ID Pisanski, Tomaž (Author)
ID Žitnik, Arjana (Author) |
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| Files: |  http://dx.doi.org/10.1007/s00373-011-1086-2
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | We consider the class of ▫$I$▫-graphs, which is a generalization of the class of the generalized Petersen graphs. We show that two ▫$I$▫-graphs ▫$I(n, j, k)$▫ and ▫$I(n, j_1, k_1)$▫ are isomorphic if and only if there exists an integer ▫$a$▫ relatively prime to $n$ such that either ▫$\{j_1, k_1\} = \{aj \mod n, \; ak \mod n \}$▫ or ▫$\{j_1, k_1\} = \{aj \mod n, \; -ak \mod n\}$▫. This result has an application in the enumeration of non-isomorphic ▫$I$▫-graphs and unit-distance representations of generalized Petersen graphs. |
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| Keywords: | mathematics, graph theory, isomorphism, I-graph, generalized Petersen graph |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 823-830 |
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| Numbering: | Vol. 28, no. 6 |
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| PID: | 20.500.12556/RUP-444  |
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| ISSN: | 0911-0119 |
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| UDC: | 519.17 |
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| COBISS.SI-ID: | 16069977 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 4131 |
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| Downloads: | 136 |
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